Assume that l2t = 0.15% and that l = 0. If the one-year interest rate is 5% and the two-year interest rate is 5.75%, then i is equal to: %3D %3D ++1 O A. 5.15% O B. 5.60% O C. 6.20%
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- A 10-year government coupon bond has a face value of $1,000 and a coupon rate of 5% paid annually. Assume that the interest rate is 6% per year. What is the bond’s PV? (You can sum the PVs for each of the coupon payments and the final $1,000, or you can use the annuity formula in the text (at p. 103) to save some work.)The sole proprietor of the FM2 Financial Services, Bondo, receives allaccounting profits earned by her firm and a K28,000-a-year salary she pays herself. Itis noteworthy that she also has a standing salary offer of K35,000 a year if she agreesto work for Bank of Zambia. If she had invested her capital outside her own company,she estimates that would have made a return of K22,000 a year. Further, informationhas reached you that last year, Bondo’s accounting profit was K50,000. Calculate hereconomic profit?Assume a consumer who has current period income y = 200 , future-period income y' = 150, current and future taxes t = 40 and t' = 50, respectively and faces a market real interest rate ofr 005, or 5% per period. The consumer would like to consume equal amounts in both periods, that is, he or she would like to set c = c', if possible. However, this consumer is a faced with a credit market imperfections, in that he or she cannot borrow at all, that is, s>or=20. (a) Show the consumer's lifetime budget constraint and indifference curves in a diagram. (b) Calculate his or her optimal current period and future-period consumption and optimal, saving, and show this in your diagram.
- Assume a consumer who has current period income y = 200 , future-period income y' = 150, current and future taxes t = 40 and t' = 50, respectively and faces a market real interest rate ofr 005, or 5% per period. The consumer would like to consume equal amounts in both periods, that is, he or she would like to set c = c', if possible. However, this consumer is a faced with a credit market imperfections, in that he or she cannot borrow at all, that is, s>or=20. (a) Show the consumer's lifetime budget constraint and indifference curves in a diagram. Calculate his or her optimal current period and future-period consumption and optimal, saving, and show this in your diagram. (b) Suppose that everything remains unchanged. except that now t = 20 and t' = 71. Calculate the effects on current and future con sumption and optimal saving, and show this in your diagram (d) Now, suppose alternatively that y = 100. Repeat parts (a) and (b), and explain any differences.2. Calculate the value of P corresponding to the following series, if the effective interest rate applicable to each period is 10%:Which of the following investment options willmaximize your future wealth at the end of 18 years?Assume any funds that remain invested will earn anominal rate of 12% compounded monthly.(a) Deposit $8,000 now.(b) Deposit $120 at the end of each month for thefirst 12 years.(c) Deposit $105 at the end of each month for 18years.(d) Deposit a lump sum in the amount of $35,000 atthe end of year 12.
- Suppose that an oil well is expected to produce 1,200,000 barrels of oil during its firstyear in production. However, its subsequent production (yield) is expected to increaseby 9% over the previous year's production. The oil well has a proven reserve of10,500,000 barrels. (a)Suppose that the price of oil is expected to be $120 per barrel for the next six years.What would be the present worth of the anticipated revenue stream at an interest rateof 10% compounded annually over the next six years?(b)Suppose that the price of oil is expected to start at $120 per barrel during the firstyear, but to increase at the rate of 3% over the previous year's price. What would bethe present worth of the anticipated revenue stream at an interest rate of 10%compounded annually over the next six years?(c)Consider part (b) again. After three years' production, you decide to sell the oil well.What would be a fair price?Suppose that you are obtaining a personal loan from your uncle in the amount of $20,000 (now) to be repaid in two years to cover some of your college expenses. If your uncle usually earns minimum 8% profit (annually) on his money, which is invested in various sources. 1) What minimum lump-sum payment two years from now would make your uncle happy? 2) If you pay yearly, how much should you pay each year? 3) If you pay every six months, how much should you pay every six months?1. Suppose that $100 is invested for five years at an interest rate of 8% per year, compounded annually. How much will be in the account at the end of five years? 2. Suppose that an investor wishes to deposit an amount now so that in 30 years $1,000,000 will be in an account that pays 10% interest per year, compounded annually. What amount must be deposited now? 3. How many years are required for an investment to double in value at 10% interest? 4. Suppose that an investor wishes to deposit an amount now so that in 20 years there will be $50,000 in an account that pays 7% interest, compounded annually. What amount must be deposited now?
- Suppose Carly’s current salary is $72,000 per year, and she is planning to retire 25 years from now. She anticipates that her annual salary will increase by $1, 800 each year. (That is, in the first year she will earn $72, 000 in the second year $73, 800 in the third year $75, 600 and so forth.) At the end of each of the next 25 years, she plans to deposit 10% of her salary from that year into a retirement fund that earns 6% interest compounded daily. How much money will be in her account at the time of her retirement?Suppose that you purchase a 2 year coupon bond at the time it is issued for $1100. The face value of the bond is $1000, with annual coupon payments of $80. a. What is the bond’s “coupon rate”? b. What is the bond’s “current yield”? c. What is the bond’s (nominal) “yield to maturity”? d. If you hold the bond for 1 year and sell it for $1035 (after collecting the first coupon payment), what is your “holding period rate of return”? Please answer all part otherwise DounvoteUse the definition of the effective rates of interest and discount. j=[Amount at s+t - Amount at s] / [Amt at s]. d_j=[Amount at s+t - Amount at s] / [Amt at s+t]. For 8 items c & d, if j (d_j) is nominal then effective interest (resp. discount) every mth of a period is j^(m)/m (resp. d^(m)/m).